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# Title: [Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica (shelfmarks Leibn. Marg. 100:1/2, Stück 1; Leibn. Marg. 100:1/2)
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De Libra.
Similicer omnino, hlumeretr F. sinistrorsum; nisi quod gux jam auterenda (une,
CC CHIEHC acceHa, _CONtTa.
P R OP. XXII.
Data Centrorum Librae Motusque et Aquilibrii (rel Perpendiculorum
Per Centrum aequilibrii ec per Centrummotus; vel Plani Perpendi-
cularis per motus axem ex huic paralleli Plani Aguilibrii) ab inricem
Distantia ad datas partes: P.X cognito Pondere (vel summa ponde
rum) cognolcitur Ponderatio; vel, cognita ponderatione, pondus
vel summa ponderum.
FDKP = + DP = +C
Om enim appentum Pondus, vel summa Ponderum uccunque appentorum,
Ls perinde libram grarant acque li omnia ex Cenero Aquilibrii (rel in perpen-
diculari Plano per Cenerum AEguilibrii, plano per Axem motus perpendiculari
Parallelo) dexenderene; per 20 hujus. Adeogue per T2 de Z3 hujus, in ratione
quae ex Discancia, e Ponderis (seu summae Ponderum) rationibus componitur:
atque ad eas partes qua est aequslibrii Centrum Planumre. Datis, cum ad datas
parces Diltancia, cum summa Ponderum; datur Ponderatio (quanta, de ad quas
parres:) Vel, Dacis Distancia e Ponderatione; Pondus datur, vel summa Ponde.
rum. per 15 hujus. Quoderac probandum.
P R O P. XXTTI
Datis Pondere (seu Tumma Ponderum) et Ponderatione ad datas
Partes: Datur Ceneri A quilibrii (Perpendiculis Planire, in quo est)
a Plano per axem motus transcunte, (rel, in data libra Per cen
trum mocustranscunce, à Cenero librae) Distantia ad datas Partes.
Adeogue; Plani Perpendicularis per axem motus, de lnic paralleli
Plani Aquilibrii: Vel, in dato Libex Plano, Perpendiculorum (aut
Succedaneorum) per centrum Mocus ex Cencrum Aquilibri: Vel
in data libra pex CeNETUI MOLS FraNSCAnEE, COnCTOTUM MOTuS et
Aquilibrii: Ono dato, dacur reliquum.
Om enim Ponderatio ad datas partes, sie in rarione quae componitur ex ratio-
nibus Ponderis (seu summae ponderum) de Distancia Cencri  quilibrii(per-
pendiculire aue plani in guo illud est) sive a communi Mocus _ librxe CenerO.
sire a Perpendiculo per concrum motrs ejulve Succedaneo; Are d plano per axem
motus perpendiculari; ad datas partes: per 12, F3, et 20 hujus: Data Ponderg-
tione ad dacas partes, e iplo pondere seu summa ponderum; dacur ad. illas partes
Distancia, per FG RujuS.
Adeoque (in data libra) diltancium punctorum uno insuper dato, datur reli-
quum (puta, dato centro librae per cencrummotus cranseuntis, datur Centrum
Aquilibrii; vel, dato centro A quilibrii, darur iltius librae Cenerum:) Similiter.
dictancium Pexpendiculorum (per Cencrum Motus, e per Cenrum Aquilitrii,)
dato uno, datur reliquum: Irem, planorum perpendicularium (per AXEM MOTIS,
de paralleti plani Aquilibris) daco umo, daur reliquum. Quod propolicum eral.
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